Setup

Pieces

All regular minor chess pieces (Rook, Bishop and Knights) move as in Orthodox Chess, with the additional feature that they can also move (but not capture! see below) as Courier Chess' Man (or Commoner): one square in any arbitrary direction, just like a King:

This means that Rooks get an additional one-step diagonal move (Ferz), Bishops get an additional one-step orthogonal move (Wazir), and Knights get all Man (Commoner) one-step moves.

There is a catch though to this new "adopted" move to the Orthodox Chess pieces! They are not allowed to capture with their new "adopted" moves. So Rooks are not allowed to capture on their diagonal move, Bishops can't capture on their orthogonal moves and Knights are not allowed to capture on their one-square moves.

The additional "adopted" Commoner moves are intended to easily allow a Rook, Bishop and Knight to move to a new outpost where they can carry their orthodox attacks. They can also use their "adopted" moves to block an enemy attack.

The King and Queen do not get any additional "adopted" moves, as they already can reach all one-step squares just like a Courier Man.

The Ajax-Minister

The Minister is an additional major piece in the Ajax Chessmen set, which is like an enhancedCourier Man or Commoner that can move AND capture on it's one-step moves (just like a Man, circles in green above), and can also leap two-squares AND capture in any direction (Alfil + Dababah - circles in blue above). Therefore Ajax Ministers are able to capture on all 16 squares within their reach.

....

Over The Board, Ajax Ministers are represented by handmade Prime Ministers (King pieces without the Cross Crown).

Any other fairy pieces though (i.e. Seirawan Elephants as Mastodons), or checkers men, can be used to represent the Ajax Ministers OTB.

Ajax-Minister's Drops

Two Ajax-Minister's Drops are allowed per player on their first rank, per game. The Ministers must be dropped on any empty square on a player's first rank as their sole move in a turn; similar to dropping pieces in Shogi (Japanese Chess), except that the drops are limited to the first rank..

There is no restriction as to when (opening, middlegame or endgame) do players need to drop their Ministers, or even a requirement to drop them (players may play without any Ministers if they choose).

Players can only drop ONE Minister per turn and the drops may not capture enemy pieces on the same turn.

The Algebraic Notation for a Minister's drop is: (Mxx) including the parenthesis.

Pawns

Pawns can play one or two squares in their initial move. They
capture one square diagonally as in regular chess and may promote to any piece (Queen, Rook, Minister, Bishop or Knight) upon reaching their last rank.

Rules

The goal of the game is to checkmate the opponent's King, as in Orthodox Chess.

Castling

This table shows where the King and Rook end up and the notation for each type of castling.

White castles a-side or long

c-castling

O-O-O

Kc1, Rd1

White castles h-side or short

g-castling

O-O

Kg1, Rf1

Black castles a-side or long

c-castling

O-O-O

Kc8, Rd8

Black castles h-side or short

g-castling

O-O

Kg8, Rf8

Castling may only occur under the following conditions:

Unmoved: The King and the castling Rook must not have moved before in the game, including a previous castling.

Un-attacked: All of the squares between the king's initial and final squares (including the initial and final squares) must not be under attack by any opposing piece.

Vacant: All the squares between the king's initial and final squares (including the final square), and all of the squares between the rook's initial and final squares (including the final square), must be vacant except for the king and castling rook.

These rules have the following consequences:

Castling cannot capture any pieces.

The king and castling rook cannot "jump" over any pieces other than each other.

A player may castle at most once in a game.

If a player moves his king or both of his initial rooks without castling, he may not castle during the rest of the game.

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Thanks Carlos!
I'm honored to see my Ajax Chessmen migrating into other inventors variants.
Sure I accept your challenge for Ajax Bigamous Chess. Send me an invite.
My preference would be with Ministers, but Ajax Bigamous Chess is your variant, so I will play it according to your rules.
You can easily make a Game Courier preset for Ajax Bigamous Chess that enforces game rules using the code from my Ajax Orthodox Chess preset.
Let me know if you need any help building the Game Courier preset.

The additional Commoner moves to rooks, knights and bishops increases the complexity of the game in a manner so exquisite that immediately induces me to transfer the concept to the symmetric setup on a 9x8 board.

José: Would you like to try it? I bring forward a fantastic game! We could play it with or without dropping ministers, as you like.

Following Fergus's suggestion for naming the symmetric setup, I would name this new variant: Ajax Bigamous Chess.